Abstract
Let K be a field that is complete with respect to a nonarchimedean absolute value such that K has a countable dense subset. We prove that the Berkovich analytification V^{\mathrm {an}} of any d -dimensional quasi-projective scheme V over K embeds in \mathbb R^{2d+1} . If, moreover, the value group of K is dense in \mathbb R_{>0} and V is a curve, then we describe the homeomorphism type of V^{\mathrm {an}} by using the theory of local dendrites.
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